Combining Texts

All the ideas for 'works', 'Counting and the Natural Numbers' and 'What Numbers Are'

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

7667	There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin]